A B-spline Tensor for Vectorial Quasi-Interpolant

Abstract

The aim of this paper is to introduce new techniques and new tools for vector field approximation. We do so by building the equivalent of B-splines, which are now tensor B-splines, as shown below, and by appling to the discretization based on a regular grid of a differential operator a fundamental solution of it, as done for polynomial B-splines and polyharmonic B-splines. We thus obtain quasi-interpolants in the vectorial case whose properties generalize the properties of the quasi-interpolants generated by using B-splines. All this is done in the case when the data lie on a regular infinite grid.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP011987

Entities

People

  • Fabrice Dodu

Organizations

  • Institut national des sciences appliquées de Toulouse

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Coefficients
  • Computational Science
  • Fluid Dynamics
  • Fluid Mechanics
  • Interpolation
  • Linear Systems
  • Mechanics
  • New York
  • Notation
  • Polynomials
  • Scalar Functions
  • Technical Information Centers
  • Three Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)